Stanislav PAKULIAK
Bogoliubov Lab. of Theoretical Physics,
Joint Institute for Nuclear Research,
141980 Dubna, Moscow Region, RUSSIA

Integral presentations for the universal R-matrices in quantum current algebras

We consider the quantized current algebras with Drinfeld's coproduct. An integral formula for the universal R-matrix  in terms of total currents will be discussed. Factorization of the universal R-matrix  in two cocycle and integral formulas associated with the standard  coproduct in the case of simplest quantum affine algebra Uq(sl2) will be presented.